Download presentation

1
Section 9-4 Perimeter, Area, and Circumference

2
**Perimeter, Area, and Circumference**

Perimeter of a Polygon Area of a Polygon Circumference of a Circle Area of a Circle

3
Perimeter of a Polygon The perimeter of any polygon is the sum of the measures of the line segments that form its sides. Perimeter is measured in linear units.

4
**Perimeter of a Triangle**

The perimeter P of a triangle with sides of lengths a, b, and c is given by the formula P = a + b + c. b a c

5
**Perimeter of a Rectangle**

The perimeter P of a rectangle with length l and width w is given by the formula P = 2l + 2w, or equivalently P = 2(l + w). l w

6
**Perimeter of a Square s s**

The perimeter P of a square with all sides of length s is given by the formula P = 4s. s s

7
Area of a Polygon The amount of plane surface covered by a polygon is called its area. Area is measured in square units.

8
Area of a Rectangle The area A of a rectangle with length l and width w is given by the formula A = lw. l w

9
**Example: Rectangle Solution**

Find the perimeter and area of the rectangle below. 15 ft. Solution 7 ft. Perimeter P = 2l + 2w = 2(15) + 2(7) = 44 ft. Area A = lw = 15(7) = 105 ft.2

10
Area of a Square The area A of a square with all sides of length s is given by the formula A = s2. s s

11
**Area of a Parallelogram**

The area A of a parallelogram with height h and base b is given by the formula A = bh. h b

12
Area of a Trapezoid The area A of a trapezoid with parallel bases b and B and height h is given by the formula b h B

13
**Example: Area of a Parallelogram**

Find the area of the trapezoid below. 7 cm. 5 cm. Solution 13 cm.

14
Area of a Triangle The area A of a triangle with base b and height h is given by the formula h b

15
**Example: Area With Multiple Shapes**

Find the area of the shaded region below. 4 in. Solution 4 in. Area of square – Area of triangle

16
**Circumference of a Circle**

The distance around a circle is called its circumference.

17
**Circumference of a Circle**

The circumference C of a circle of diameter d is given by the formula. or equivalently r d where r is a radius.

18
Area of a Circle The area A of a circle with radius r is given by the formula. r

19
**Example: Circle Solution**

Find the area and circumference of a circle with a radius that is 6 inches long (use 3.14 as an approximation for pi). Solution Circumference Area

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google